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Finding the Fourth Proportional to 4,714.32, 6,510.60 and 3,533.52

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Solution

The fourth proportional to 4,714.32, 6,510.60 and 3,533.52 is: 4,879.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.32 : 6,510.60 = 3,533.52 : x
  2. Step 2: Convert to fraction form
    4,714.32/6,510.60 = 3,533.52/x
  3. Step 3: Cross multiply
    4,714.32x = 6,510.60 × 3,533.52
  4. Step 4: Simplify right side
    4,714.32x = 23,005,335.31
  5. Step 5: Solve for x
    x = 23,005,335.31/4,714.32
  6. Step 6: Final answer
    x = 4,879.88

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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.