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Finding the Fourth Proportional to 6,566.48, 9,057.60 and 4,210.16

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Solution

The fourth proportional to 6,566.48, 9,057.60 and 4,210.16 is: 5,807.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.48 : 9,057.60 = 4,210.16 : x
  2. Step 2: Convert to fraction form
    6,566.48/9,057.60 = 4,210.16/x
  3. Step 3: Cross multiply
    6,566.48x = 9,057.60 × 4,210.16
  4. Step 4: Simplify right side
    6,566.48x = 38,133,945.22
  5. Step 5: Solve for x
    x = 38,133,945.22/6,566.48
  6. Step 6: Final answer
    x = 5,807.36

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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.