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Finding the Fourth Proportional to 3,058.60, 4,587.60 and 1,209.24

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Solution

The fourth proportional to 3,058.60, 4,587.60 and 1,209.24 is: 1,813.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.60 : 4,587.60 = 1,209.24 : x
  2. Step 2: Convert to fraction form
    3,058.60/4,587.60 = 1,209.24/x
  3. Step 3: Cross multiply
    3,058.60x = 4,587.60 × 1,209.24
  4. Step 4: Simplify right side
    3,058.60x = 5,547,509.42
  5. Step 5: Solve for x
    x = 5,547,509.42/3,058.60
  6. Step 6: Final answer
    x = 1,813.74

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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.