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Finding the Fourth Proportional to 6,302.16, 8,697.72 and 4,070.52

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Solution

The fourth proportional to 6,302.16, 8,697.72 and 4,070.52 is: 5,617.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.16 : 8,697.72 = 4,070.52 : x
  2. Step 2: Convert to fraction form
    6,302.16/8,697.72 = 4,070.52/x
  3. Step 3: Cross multiply
    6,302.16x = 8,697.72 × 4,070.52
  4. Step 4: Simplify right side
    6,302.16x = 35,404,243.21
  5. Step 5: Solve for x
    x = 35,404,243.21/6,302.16
  6. Step 6: Final answer
    x = 5,617.80

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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.