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Finding the Fourth Proportional to 4,671.02, 7,007.58 and 1,384.13

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Solution

The fourth proportional to 4,671.02, 7,007.58 and 1,384.13 is: 2,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.02 : 7,007.58 = 1,384.13 : x
  2. Step 2: Convert to fraction form
    4,671.02/7,007.58 = 1,384.13/x
  3. Step 3: Cross multiply
    4,671.02x = 7,007.58 × 1,384.13
  4. Step 4: Simplify right side
    4,671.02x = 9,699,366.67
  5. Step 5: Solve for x
    x = 9,699,366.67/4,671.02
  6. Step 6: Final answer
    x = 2,076.50

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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.