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Finding the Fourth Proportional to 4,671.48, 7,004.78 and 1,384.16

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Solution

The fourth proportional to 4,671.48, 7,004.78 and 1,384.16 is: 2,075.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.48 : 7,004.78 = 1,384.16 : x
  2. Step 2: Convert to fraction form
    4,671.48/7,004.78 = 1,384.16/x
  3. Step 3: Cross multiply
    4,671.48x = 7,004.78 × 1,384.16
  4. Step 4: Simplify right side
    4,671.48x = 9,695,736.28
  5. Step 5: Solve for x
    x = 9,695,736.28/4,671.48
  6. Step 6: Final answer
    x = 2,075.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.