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Finding the Fourth Proportional to 6,053.64, 8,352.54 and 3,534.32

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Solution

The fourth proportional to 6,053.64, 8,352.54 and 3,534.32 is: 4,876.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,053.64 : 8,352.54 = 3,534.32 : x
  2. Step 2: Convert to fraction form
    6,053.64/8,352.54 = 3,534.32/x
  3. Step 3: Cross multiply
    6,053.64x = 8,352.54 × 3,534.32
  4. Step 4: Simplify right side
    6,053.64x = 29,520,549.17
  5. Step 5: Solve for x
    x = 29,520,549.17/6,053.64
  6. Step 6: Final answer
    x = 4,876.50

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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.