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Finding the Fourth Proportional to 5,032.32, 6,946.62 and 4,899.84

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Solution

The fourth proportional to 5,032.32, 6,946.62 and 4,899.84 is: 6,763.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,032.32 : 6,946.62 = 4,899.84 : x
  2. Step 2: Convert to fraction form
    5,032.32/6,946.62 = 4,899.84/x
  3. Step 3: Cross multiply
    5,032.32x = 6,946.62 × 4,899.84
  4. Step 4: Simplify right side
    5,032.32x = 34,037,326.54
  5. Step 5: Solve for x
    x = 34,037,326.54/5,032.32
  6. Step 6: Final answer
    x = 6,763.74

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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.