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Finding the Fourth Proportional to 5,378.16, 7,411.59 and 4,631.88

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Solution

The fourth proportional to 5,378.16, 7,411.59 and 4,631.88 is: 6,383.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.16 : 7,411.59 = 4,631.88 : x
  2. Step 2: Convert to fraction form
    5,378.16/7,411.59 = 4,631.88/x
  3. Step 3: Cross multiply
    5,378.16x = 7,411.59 × 4,631.88
  4. Step 4: Simplify right side
    5,378.16x = 34,329,595.49
  5. Step 5: Solve for x
    x = 34,329,595.49/5,378.16
  6. Step 6: Final answer
    x = 6,383.15

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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.