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Finding the Fourth Proportional to 3,670.77, 5,506.13 and 1,038.51

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Solution

The fourth proportional to 3,670.77, 5,506.13 and 1,038.51 is: 1,557.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.77 : 5,506.13 = 1,038.51 : x
  2. Step 2: Convert to fraction form
    3,670.77/5,506.13 = 1,038.51/x
  3. Step 3: Cross multiply
    3,670.77x = 5,506.13 × 1,038.51
  4. Step 4: Simplify right side
    3,670.77x = 5,718,165.87
  5. Step 5: Solve for x
    x = 5,718,165.87/3,670.77
  6. Step 6: Final answer
    x = 1,557.76

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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.