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Finding the Fourth Proportional to 6,051.60, 9,075.60 and 2,351.70

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Solution

The fourth proportional to 6,051.60, 9,075.60 and 2,351.70 is: 3,526.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,051.60 : 9,075.60 = 2,351.70 : x
  2. Step 2: Convert to fraction form
    6,051.60/9,075.60 = 2,351.70/x
  3. Step 3: Cross multiply
    6,051.60x = 9,075.60 × 2,351.70
  4. Step 4: Simplify right side
    6,051.60x = 21,343,088.52
  5. Step 5: Solve for x
    x = 21,343,088.52/6,051.60
  6. Step 6: Final answer
    x = 3,526.85

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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.