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Finding the Fourth Proportional to 5,763.42, 7,945.50 and 4,870.86

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Solution

The fourth proportional to 5,763.42, 7,945.50 and 4,870.86 is: 6,715.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.42 : 7,945.50 = 4,870.86 : x
  2. Step 2: Convert to fraction form
    5,763.42/7,945.50 = 4,870.86/x
  3. Step 3: Cross multiply
    5,763.42x = 7,945.50 × 4,870.86
  4. Step 4: Simplify right side
    5,763.42x = 38,701,418.13
  5. Step 5: Solve for x
    x = 38,701,418.13/5,763.42
  6. Step 6: Final answer
    x = 6,715.01

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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.