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Finding the Fourth Proportional to 5,437.02, 8,156.16 and 1,541.64

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Solution

The fourth proportional to 5,437.02, 8,156.16 and 1,541.64 is: 2,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,437.02 : 8,156.16 = 1,541.64 : x
  2. Step 2: Convert to fraction form
    5,437.02/8,156.16 = 1,541.64/x
  3. Step 3: Cross multiply
    5,437.02x = 8,156.16 × 1,541.64
  4. Step 4: Simplify right side
    5,437.02x = 12,573,862.50
  5. Step 5: Solve for x
    x = 12,573,862.50/5,437.02
  6. Step 6: Final answer
    x = 2,312.64

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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.