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Finding the Fourth Proportional to 5,203.16, 7,804.75 and 1,307.57

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Solution

The fourth proportional to 5,203.16, 7,804.75 and 1,307.57 is: 1,961.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.16 : 7,804.75 = 1,307.57 : x
  2. Step 2: Convert to fraction form
    5,203.16/7,804.75 = 1,307.57/x
  3. Step 3: Cross multiply
    5,203.16x = 7,804.75 × 1,307.57
  4. Step 4: Simplify right side
    5,203.16x = 10,205,214.66
  5. Step 5: Solve for x
    x = 10,205,214.66/5,203.16
  6. Step 6: Final answer
    x = 1,961.35

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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.