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Finding the Fourth Proportional to 5,235.51, 7,854.38 and 1,537.46

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Solution

The fourth proportional to 5,235.51, 7,854.38 and 1,537.46 is: 2,306.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.51 : 7,854.38 = 1,537.46 : x
  2. Step 2: Convert to fraction form
    5,235.51/7,854.38 = 1,537.46/x
  3. Step 3: Cross multiply
    5,235.51x = 7,854.38 × 1,537.46
  4. Step 4: Simplify right side
    5,235.51x = 12,075,795.07
  5. Step 5: Solve for x
    x = 12,075,795.07/5,235.51
  6. Step 6: Final answer
    x = 2,306.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.