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Finding the Fourth Proportional to 5,307.51, 7,961.61 and 1,610.01

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Solution

The fourth proportional to 5,307.51, 7,961.61 and 1,610.01 is: 2,415.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.51 : 7,961.61 = 1,610.01 : x
  2. Step 2: Convert to fraction form
    5,307.51/7,961.61 = 1,610.01/x
  3. Step 3: Cross multiply
    5,307.51x = 7,961.61 × 1,610.01
  4. Step 4: Simplify right side
    5,307.51x = 12,818,271.72
  5. Step 5: Solve for x
    x = 12,818,271.72/5,307.51
  6. Step 6: Final answer
    x = 2,415.12

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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.