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Finding the Fourth Proportional to 4,710.24, 7,070.47 and 3,543.57

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Solution

The fourth proportional to 4,710.24, 7,070.47 and 3,543.57 is: 5,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.24 : 7,070.47 = 3,543.57 : x
  2. Step 2: Convert to fraction form
    4,710.24/7,070.47 = 3,543.57/x
  3. Step 3: Cross multiply
    4,710.24x = 7,070.47 × 3,543.57
  4. Step 4: Simplify right side
    4,710.24x = 25,054,705.38
  5. Step 5: Solve for x
    x = 25,054,705.38/4,710.24
  6. Step 6: Final answer
    x = 5,319.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.