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Finding the Fourth Proportional to 4,607.16, 6,357.84 and 2,511.24

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Solution

The fourth proportional to 4,607.16, 6,357.84 and 2,511.24 is: 3,465.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.16 : 6,357.84 = 2,511.24 : x
  2. Step 2: Convert to fraction form
    4,607.16/6,357.84 = 2,511.24/x
  3. Step 3: Cross multiply
    4,607.16x = 6,357.84 × 2,511.24
  4. Step 4: Simplify right side
    4,607.16x = 15,966,062.12
  5. Step 5: Solve for x
    x = 15,966,062.12/4,607.16
  6. Step 6: Final answer
    x = 3,465.49

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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.