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Finding the Fourth Proportional to 4,671.78, 7,007.64 and 1,748.01

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Solution

The fourth proportional to 4,671.78, 7,007.64 and 1,748.01 is: 2,622.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.78 : 7,007.64 = 1,748.01 : x
  2. Step 2: Convert to fraction form
    4,671.78/7,007.64 = 1,748.01/x
  3. Step 3: Cross multiply
    4,671.78x = 7,007.64 × 1,748.01
  4. Step 4: Simplify right side
    4,671.78x = 12,249,424.80
  5. Step 5: Solve for x
    x = 12,249,424.80/4,671.78
  6. Step 6: Final answer
    x = 2,622.00

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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.