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Finding the Fourth Proportional to 5,291.74, 7,868.35 and 5,070.29

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Solution

The fourth proportional to 5,291.74, 7,868.35 and 5,070.29 is: 7,539.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.74 : 7,868.35 = 5,070.29 : x
  2. Step 2: Convert to fraction form
    5,291.74/7,868.35 = 5,070.29/x
  3. Step 3: Cross multiply
    5,291.74x = 7,868.35 × 5,070.29
  4. Step 4: Simplify right side
    5,291.74x = 39,894,816.32
  5. Step 5: Solve for x
    x = 39,894,816.32/5,291.74
  6. Step 6: Final answer
    x = 7,539.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.