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Finding the Fourth Proportional to 5,669.45, 7,827.66 and 5,070.08

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Solution

The fourth proportional to 5,669.45, 7,827.66 and 5,070.08 is: 7,000.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.45 : 7,827.66 = 5,070.08 : x
  2. Step 2: Convert to fraction form
    5,669.45/7,827.66 = 5,070.08/x
  3. Step 3: Cross multiply
    5,669.45x = 7,827.66 × 5,070.08
  4. Step 4: Simplify right side
    5,669.45x = 39,686,862.41
  5. Step 5: Solve for x
    x = 39,686,862.41/5,669.45
  6. Step 6: Final answer
    x = 7,000.13

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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.