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Finding the Fourth Proportional to 5,434.64, 8,152.40 and 1,737.40

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Solution

The fourth proportional to 5,434.64, 8,152.40 and 1,737.40 is: 2,606.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434.64 : 8,152.40 = 1,737.40 : x
  2. Step 2: Convert to fraction form
    5,434.64/8,152.40 = 1,737.40/x
  3. Step 3: Cross multiply
    5,434.64x = 8,152.40 × 1,737.40
  4. Step 4: Simplify right side
    5,434.64x = 14,163,979.76
  5. Step 5: Solve for x
    x = 14,163,979.76/5,434.64
  6. Step 6: Final answer
    x = 2,606.24

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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.