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Finding the Fourth Proportional to 4,652.64, 6,985.44 and 2,345.76

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Solution

The fourth proportional to 4,652.64, 6,985.44 and 2,345.76 is: 3,521.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.64 : 6,985.44 = 2,345.76 : x
  2. Step 2: Convert to fraction form
    4,652.64/6,985.44 = 2,345.76/x
  3. Step 3: Cross multiply
    4,652.64x = 6,985.44 × 2,345.76
  4. Step 4: Simplify right side
    4,652.64x = 16,386,165.73
  5. Step 5: Solve for x
    x = 16,386,165.73/4,652.64
  6. Step 6: Final answer
    x = 3,521.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.