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Finding the Fourth Proportional to 4,884.66, 7,328.13 and 1,598.01

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Solution

The fourth proportional to 4,884.66, 7,328.13 and 1,598.01 is: 2,397.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.66 : 7,328.13 = 1,598.01 : x
  2. Step 2: Convert to fraction form
    4,884.66/7,328.13 = 1,598.01/x
  3. Step 3: Cross multiply
    4,884.66x = 7,328.13 × 1,598.01
  4. Step 4: Simplify right side
    4,884.66x = 11,710,425.02
  5. Step 5: Solve for x
    x = 11,710,425.02/4,884.66
  6. Step 6: Final answer
    x = 2,397.39

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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.