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Finding the Fourth Proportional to 6,565.07, 9,058.19 and 4,210.40

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Solution

The fourth proportional to 6,565.07, 9,058.19 and 4,210.40 is: 5,809.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.07 : 9,058.19 = 4,210.40 : x
  2. Step 2: Convert to fraction form
    6,565.07/9,058.19 = 4,210.40/x
  3. Step 3: Cross multiply
    6,565.07x = 9,058.19 × 4,210.40
  4. Step 4: Simplify right side
    6,565.07x = 38,138,604.77
  5. Step 5: Solve for x
    x = 38,138,604.77/6,565.07
  6. Step 6: Final answer
    x = 5,809.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.