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Finding the Fourth Proportional to 4,705.16, 7,075.02 and 4,515.08

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Solution

The fourth proportional to 4,705.16, 7,075.02 and 4,515.08 is: 6,789.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.16 : 7,075.02 = 4,515.08 : x
  2. Step 2: Convert to fraction form
    4,705.16/7,075.02 = 4,515.08/x
  3. Step 3: Cross multiply
    4,705.16x = 7,075.02 × 4,515.08
  4. Step 4: Simplify right side
    4,705.16x = 31,944,281.30
  5. Step 5: Solve for x
    x = 31,944,281.30/4,705.16
  6. Step 6: Final answer
    x = 6,789.20

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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.