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Finding the Fourth Proportional to 4,607, 6,357.68 and 2,511.16

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Solution

The fourth proportional to 4,607, 6,357.68 and 2,511.16 is: 3,465.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607 : 6,357.68 = 2,511.16 : x
  2. Step 2: Convert to fraction form
    4,607/6,357.68 = 2,511.16/x
  3. Step 3: Cross multiply
    4,607x = 6,357.68 × 2,511.16
  4. Step 4: Simplify right side
    4,607x = 15,965,151.71
  5. Step 5: Solve for x
    x = 15,965,151.71/4,607
  6. Step 6: Final answer
    x = 3,465.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.