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Finding the Fourth Proportional to 6,405.51, 9,602.58 and 2,507.19

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Solution

The fourth proportional to 6,405.51, 9,602.58 and 2,507.19 is: 3,758.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.51 : 9,602.58 = 2,507.19 : x
  2. Step 2: Convert to fraction form
    6,405.51/9,602.58 = 2,507.19/x
  3. Step 3: Cross multiply
    6,405.51x = 9,602.58 × 2,507.19
  4. Step 4: Simplify right side
    6,405.51x = 24,075,492.55
  5. Step 5: Solve for x
    x = 24,075,492.55/6,405.51
  6. Step 6: Final answer
    x = 3,758.56

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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.