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Finding the Fourth Proportional to 4,707.19, 7,058.02 and 1,785.70

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Solution

The fourth proportional to 4,707.19, 7,058.02 and 1,785.70 is: 2,677.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.19 : 7,058.02 = 1,785.70 : x
  2. Step 2: Convert to fraction form
    4,707.19/7,058.02 = 1,785.70/x
  3. Step 3: Cross multiply
    4,707.19x = 7,058.02 × 1,785.70
  4. Step 4: Simplify right side
    4,707.19x = 12,603,506.31
  5. Step 5: Solve for x
    x = 12,603,506.31/4,707.19
  6. Step 6: Final answer
    x = 2,677.50

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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.