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Finding the Fourth Proportional to 5,685,064.86, 7,845,492.15 and 3,106,854.30

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Solution

The fourth proportional to 5,685,064.86, 7,845,492.15 and 3,106,854.30 is: 4,287,515.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685,064.86 : 7,845,492.15 = 3,106,854.30 : x
  2. Step 2: Convert to fraction form
    5,685,064.86/7,845,492.15 = 3,106,854.30/x
  3. Step 3: Cross multiply
    5,685,064.86x = 7,845,492.15 × 3,106,854.30
  4. Step 4: Simplify right side
    5,685,064.86x = 24,374,801,021,843.75
  5. Step 5: Solve for x
    x = 24,374,801,021,843.75/5,685,064.86
  6. Step 6: Final answer
    x = 4,287,515.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.