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Finding the Fourth Proportional to 3,158.61, 4,738.64 and 1,598.01

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Solution

The fourth proportional to 3,158.61, 4,738.64 and 1,598.01 is: 2,397.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.61 : 4,738.64 = 1,598.01 : x
  2. Step 2: Convert to fraction form
    3,158.61/4,738.64 = 1,598.01/x
  3. Step 3: Cross multiply
    3,158.61x = 4,738.64 × 1,598.01
  4. Step 4: Simplify right side
    3,158.61x = 7,572,368.35
  5. Step 5: Solve for x
    x = 7,572,368.35/3,158.61
  6. Step 6: Final answer
    x = 2,397.38

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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.